Built on

S. L. Adler, “Consistency conditions on the strong interactions implied by a partially conserved axial vector current,” Phys.Rev. 137
1965
Earlier work this paper cites.
S. Weinberg, “Pion scattering lengths,” Phys.Rev.Lett. 17
1966
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Holographic predictions for cosmological 3-point functions,” JHEP 1203
Original
1967
Earlier work this paper cites.
E. Ivanov and V. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor.Mat.Fiz. 25
1975
Earlier work this paper cites.
N. Kaloper and L. Sorbo, “A Natural Framework for Chaotic Inflation,” Phys.Rev.Lett. 102
Original
1989
Earlier work this paper cites.
I. Antoniadis, P. O. Mazur, and E. Mottola, “Conformal invariance and cosmic background radiation,” Phys.Rev.Lett. 79
1997
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
S. Weinberg, “Adiabatic modes in cosmology,” Phys.Rev. D67
2003
Earlier work this paper cites.
N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP 0405
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP 0410
2004
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis, and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP 0612
2006
Earlier work this paper cites.
X. Chen, M.-x. Huang, and G. Shiu, “The Inflationary Trispectrum for Models with Large Non-Gaussianities,” Phys.Rev. D74
2006
Earlier work this paper cites.
X. Chen, M.-x. Huang, S. Kachru, and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 0701
2007
Earlier work this paper cites.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan, and L. Senatore, “The Effective Field Theory of Inflation,” JHEP 0803
Original
2008
Earlier work this paper cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan, and L. Senatore, “On the consistency relation of the 3-point function in single field inflation,” JCAP 0802
Original
2008
Earlier work this paper cites.
R. Holman and A. J. Tolley, “Enhanced Non-Gaussianity from Excited Initial States,” JCAP 0805
Original
2008
Earlier work this paper cites.
L. Boubekeur, P. Creminelli, J. Noreña, and F. Vernizzi, “Action approach to cosmological perturbations: the 2nd order metric in matter dominance,” JCAP 0808
Original
2008
Earlier work this paper cites.
X. Chen, R. Easther, and E. A. Lim, “Generation and Characterization of Large Non-Gaussianities in Single Field Inflation,” JCAP 0804
Original
2008
Earlier work this paper cites.
P. Creminelli, G. D’Amico, J. Noreña, and F. Vernizzi, “The Effective Theory of Quintessence: the w < − 1 w<-1 Side Unveiled,” JCAP 0902
Original
2009
Earlier work this paper cites.
J. Khoury and F. Piazza, “Rapidly-Varying Speed of Sound, Scale Invariance and Non-Gaussian Signatures,” JCAP 0907
Original
2009
Earlier work this paper cites.
Y.-F. Cai, W. Xue, R. Brandenberger, and X. Zhang, “Non-Gaussianity in a Matter Bounce,” JCAP 0905
Original
2009
Earlier work this paper cites.
P. D. Meerburg, J. P. van der Schaar, and P. S. Corasaniti, “Signatures of Initial State Modifications on Bispectrum Statistics,” JCAP 0905
Original
2009
Earlier work this paper cites.
H. Collins and R. Holman, “Trans-Planckian enhancements of the primordial non-Gaussianities,” Phys.Rev. D80
Original
2009
Earlier work this paper cites.
X. Chen, B. Hu, M.-x. Huang, G. Shiu, and Y. Wang, “Large Primordial Trispectra in General Single Field Inflation,” JCAP 0908
Original
2009
Earlier work this paper cites.

Similar

F. Arroja, S. Mizuno, K. Koyama, and T. Tanaka, “On the full trispectrum in single field DBI-inflation,” Phys.Rev. D80
Original
2009
Cited alongside, same era.
V. Rubakov, “Harrison-Zeldovich spectrum from conformal invariance,” JCAP 0909
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, and J. Kaplan, “What is the Simplest Quantum Field Theory?,” JHEP 1009
Original
2010
Cited alongside, same era.
R. Flauger, L. McAllister, E. Pajer, A. Westphal, and G. Xu, “Oscillations in the CMB from Axion Monodromy Inflation,” JCAP 1006
Original
2010
Cited alongside, same era.
L. McAllister, E. Silverstein, and A. Westphal, “Gravity Waves and Linear Inflation from Axion Monodromy,” Phys.Rev. D82

Then

A. Dey, E. Kovetz, and S. Paban, “Non-Gaussianities in the Cosmological Perturbation Spectrum due to Primordial Anisotropy II,” JCAP 1210
Original
2012
Later among the works it cites.
S. R. Behbahani, A. Dymarsky, M. Mirbabayi, and L. Senatore, “(Small) Resonant non-Gaussianities: Signatures of a Discrete Shift Symmetry in the Effective Field Theory of Inflation,” JCAP 1212
Original
2012
Later among the works it cites.
K. Hinterbichler and J. Khoury, “The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry,” JCAP 1204
Original
2012
Later among the works it cites.
K. Hinterbichler, A. Joyce, and J. Khoury, “Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe,” JCAP 1206
Original
2012
Later among the works it cites.

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2014

Multiple Soft Limits of Cosmological Correlation Functions

Joyce, Austin, Khoury, Justin, Simonović, Marko

Understand

We derive novel identities satisfied by inflationary correlation functions in the limit where two external momenta are taken to be small.

We derive these statements in two ways: using background-wave arguments and as Ward identities following from the fixed-time path integral.
Interestingly, these identities allow us to constrain some of the O(q^2) components of the soft limit, in contrast to their single-soft analogues.
We provide several nontrivial checks of our identities both in the context of resonant non-Gaussianities and in small sound speed models.

Built on

S. L. Adler, “Consistency conditions on the strong interactions implied by a partially conserved axial vector current,” Phys.Rev. 137
1965
Earlier work this paper cites.
S. Weinberg, “Pion scattering lengths,” Phys.Rev.Lett. 17
1966
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Holographic predictions for cosmological 3-point functions,” JHEP 1203
Original
1967
Earlier work this paper cites.
E. Ivanov and V. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor.Mat.Fiz. 25
1975
Earlier work this paper cites.
N. Kaloper and L. Sorbo, “A Natural Framework for Chaotic Inflation,” Phys.Rev.Lett. 102
Original
1989
Earlier work this paper cites.
I. Antoniadis, P. O. Mazur, and E. Mottola, “Conformal invariance and cosmic background radiation,” Phys.Rev.Lett. 79
1997
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
S. Weinberg, “Adiabatic modes in cosmology,” Phys.Rev. D67
2003
Earlier work this paper cites.
N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP 0405
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP 0410
2004
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis, and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP 0612
2006
Earlier work this paper cites.
X. Chen, M.-x. Huang, and G. Shiu, “The Inflationary Trispectrum for Models with Large Non-Gaussianities,” Phys.Rev. D74
2006
Earlier work this paper cites.
X. Chen, M.-x. Huang, S. Kachru, and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 0701
2007
Earlier work this paper cites.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan, and L. Senatore, “The Effective Field Theory of Inflation,” JHEP 0803
Original
2008
Earlier work this paper cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan, and L. Senatore, “On the consistency relation of the 3-point function in single field inflation,” JCAP 0802
Original
2008
Earlier work this paper cites.
R. Holman and A. J. Tolley, “Enhanced Non-Gaussianity from Excited Initial States,” JCAP 0805
Original
2008
Earlier work this paper cites.
L. Boubekeur, P. Creminelli, J. Noreña, and F. Vernizzi, “Action approach to cosmological perturbations: the 2nd order metric in matter dominance,” JCAP 0808
Original
2008
Earlier work this paper cites.
X. Chen, R. Easther, and E. A. Lim, “Generation and Characterization of Large Non-Gaussianities in Single Field Inflation,” JCAP 0804
Original
2008
Earlier work this paper cites.
P. Creminelli, G. D’Amico, J. Noreña, and F. Vernizzi, “The Effective Theory of Quintessence: the w < − 1 w<-1 Side Unveiled,” JCAP 0902
Original
2009
Earlier work this paper cites.
J. Khoury and F. Piazza, “Rapidly-Varying Speed of Sound, Scale Invariance and Non-Gaussian Signatures,” JCAP 0907
Original
2009
Earlier work this paper cites.
Y.-F. Cai, W. Xue, R. Brandenberger, and X. Zhang, “Non-Gaussianity in a Matter Bounce,” JCAP 0905
Original
2009
Earlier work this paper cites.
P. D. Meerburg, J. P. van der Schaar, and P. S. Corasaniti, “Signatures of Initial State Modifications on Bispectrum Statistics,” JCAP 0905
Original
2009
Earlier work this paper cites.
H. Collins and R. Holman, “Trans-Planckian enhancements of the primordial non-Gaussianities,” Phys.Rev. D80
Original
2009
Earlier work this paper cites.
X. Chen, B. Hu, M.-x. Huang, G. Shiu, and Y. Wang, “Large Primordial Trispectra in General Single Field Inflation,” JCAP 0908
Original
2009
Earlier work this paper cites.

Similar

F. Arroja, S. Mizuno, K. Koyama, and T. Tanaka, “On the full trispectrum in single field DBI-inflation,” Phys.Rev. D80
Original
2009
Cited alongside, same era.
V. Rubakov, “Harrison-Zeldovich spectrum from conformal invariance,” JCAP 0909
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, and J. Kaplan, “What is the Simplest Quantum Field Theory?,” JHEP 1009
Original
2010
Cited alongside, same era.
R. Flauger, L. McAllister, E. Pajer, A. Westphal, and G. Xu, “Oscillations in the CMB from Axion Monodromy Inflation,” JCAP 1006
Original
2010
Cited alongside, same era.
L. McAllister, E. Silverstein, and A. Westphal, “Gravity Waves and Linear Inflation from Axion Monodromy,” Phys.Rev. D82

Then

A. Dey, E. Kovetz, and S. Paban, “Non-Gaussianities in the Cosmological Perturbation Spectrum due to Primordial Anisotropy II,” JCAP 1210
Original
2012
Later among the works it cites.
S. R. Behbahani, A. Dymarsky, M. Mirbabayi, and L. Senatore, “(Small) Resonant non-Gaussianities: Signatures of a Discrete Shift Symmetry in the Effective Field Theory of Inflation,” JCAP 1212
Original
2012
Later among the works it cites.
K. Hinterbichler and J. Khoury, “The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry,” JCAP 1204
Original
2012
Later among the works it cites.
K. Hinterbichler, A. Joyce, and J. Khoury, “Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe,” JCAP 1206
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

M. Libanov and V. Rubakov, “Cosmological density perturbations from conformal scalar field: infrared properties and statistical anisotropy,” JCAP 1011

Original

2010

Cited alongside, same era.

P. Creminelli, A. Nicolis, and E. Trincherini, “Galilean Genesis: An Alternative to inflation,” JCAP 1011

Original

2010

Cited alongside, same era.

J. M. Maldacena and G. L. Pimentel, “On graviton non-Gaussianities during inflation,” JHEP 1109

Original

2011

Cited alongside, same era.

P. McFadden and K. Skenderis, “Cosmological 3-point correlators from holography,” JCAP 1106

Original

2011

Cited alongside, same era.

I. Agullo and L. Parker, “Non-gaussianities and the Stimulated creation of quanta in the inflationary universe,” Phys.Rev. D83

Original

2011

Cited alongside, same era.

A. Ashoorioon and G. Shiu, “A Note on Calm Excited States of Inflation,” JCAP 1103

Original

2011

Cited alongside, same era.

J. Ganc, “Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state,” Phys.Rev. D84

Original

2011

Cited alongside, same era.

K. Hinterbichler, A. Joyce, J. Khoury, and G. E. Miller, “DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios,” JCAP 1212

Original

2012

Later among the works it cites.

I. Mata, S. Raju, and S. Trivedi, “CMB from CFT,” JHEP 1307

Original

2013

Later among the works it cites.

G. Gubitosi, F. Piazza, and F. Vernizzi, “The Effective Field Theory of Dark Energy,” JCAP 1302

Original

2013

Later among the works it cites.

W. D. Goldberger, L. Hui, and A. Nicolis, “One-particle-irreducible consistency relations for cosmological perturbations,” Phys.Rev. D87